Search a number
-
+
1530658816 = 2185839
BaseRepresentation
bin101101100111100…
…0000000000000000
310221200012112011021
41123033000000000
511113322040231
6411515155224
752634246101
oct13317000000
93850175137
101530658816
11716020695
12368745b14
131b516809b
141074043a8
158e5a3811
hex5b3c0000

1530658816 has 38 divisors (see below), whose sum is σ = 3061836080. Its totient is φ = 765198336.

The previous prime is 1530658799. The next prime is 1530658819. The reversal of 1530658816 is 6188560351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530658819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 259225 + ... + 265063.

Almost surely, 21530658816 is an apocalyptic number.

1530658816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530918040).

1530658816 is an abundant number, since it is smaller than the sum of its proper divisors (1531177264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1530658816 is an frugal number, since it uses more digits than its factorization.

1530658816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 1530658816 is about 39123.6350049430. The cubic root of 1530658816 is about 1152.4607210684.

The spelling of 1530658816 in words is "one billion, five hundred thirty million, six hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5839 8192 11678 16384 23356 32768 46712 65536 93424 131072 186848 262144 373696 747392 1494784 2989568 5979136 11958272 23916544 47833088 95666176 191332352 382664704 765329408 1530658816